$\smallint \,\,\frac{1}{{1\,\, + \,\,\cos \,\,ax}}\,\,\;dx$ is equal to

$\cot \,\,\frac{{ax}}{2}\,\, + \,\,c$

$\frac{1}{a}\;\,\,\left( {{\rm{cosec}}\,\,\;ax\,\, - \,\,{\rm{cot}}\,\,\;ax} \right)\,\, + \,\,c$

$\frac{1}{a}\,\,({\rm{cosec}}\;\,\,ax\,\, + \,\,\cot \,\,ax)\,\, + \,\,c$

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \,\,\frac{1}{{1\,\, + \,\,\cos \,\,ax}}\,\,\;dx

is equal to

View answer and explanation

Correct option: B

\frac{1}{a}\,\,\tan \,\,\frac{{ax}}{2}\,\, + \,\,c

Option B,

\frac{1}{a}\,\,\tan \,\,\frac{{ax}}{2}\,\, + \,\,c

, is correct because using trigonometric identities, the integral can be simplified and solved, resulting in this expression.

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